$4$-planar geodesic Kaehler immersions into a complex projective space
نویسندگان
چکیده
منابع مشابه
On Local Isometric Immersions into Complex and Quaternionic Projective Spaces
We will prove that if an open subset of CPn is isometrically immersed into CPm, withm < (4/3)n−2/3, then the image is totally geodesic. We will also prove that if an open subset of HPn isometrically immersed into HPm, with m < (4/3)n− 5/6, then the image is totally geodesic.
متن کاملPseudo Ricci symmetric real hypersurfaces of a complex projective space
Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
متن کاملCR Singular Immersions of Complex Projective Spaces
Quadratically parametrized smooth maps from one complex projective space to another are constructed as projections of the Segre map of the complexification. A classification theorem relates equivalence classes of projections to congruence classes of matrix pencils. Maps from the 2-sphere to the complex projective plane, which generalize stereographic projection, and immersions of the complex pr...
متن کاملpseudo ricci symmetric real hypersurfaces of a complex projective space
pseudo ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo ricci symmetric real hypersurfaces of the complex projective space cpn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
متن کاملAddendum To: Cr Singular Immersions of Complex Projective Spaces
The Zentralblatt Math number for reference [18] should be Zbl 0373.50005. Reference [6] will not appear under that title. The relevant material (cited on p. 468, [C 1 ]) can be found in Reference [4], or in [C 2 ] instead. The following Sections of this addendum are a continuation of the consideration of real manifolds immersed in C n. They include some of the calculations omitted from the pape...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1988
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1988-0934881-4